Sampling schemes for history matching using subset simulation

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  • University of Liverpool
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Original languageEnglish
Title of host publicationUNCECOMP 2017
Subtitle of host publicationProceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering
EditorsGeorge Stefanou, M. Papadrakakis, Vissarion Papadopoulos
Pages154-164
Number of pages11
ISBN (electronic)9786188284449
Publication statusPublished - 2017
Event2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering, UNCECOMP 2017 - Rhodes Island, Greece
Duration: 15 Jun 201717 Jun 2017

Abstract

History Matching (HM) is a form of model calibration suitable for high-dimensional and computationally expensive numerical models. It sequentially cuts down the input space to find the non-implausible domain that provides a reasonable match between the output and experimental data. The non-implausible domain can be orders of magnitude smaller than the original input space and it can have a complex topology. This leads to one of the most challenging open problems in implementing HM, namely, the efficient generation of samples in the non-implausible set. Previous work has shown that Subset Simulation can be used to solve this problem. Unlike Direct Monte Carlo, Subset Simulation progressively decomposes a rare event (here is the non-implausible set), which has very small failure probabilities, into sequential less rare nested events. The original Subset Simulation uses a Modified Metropolis algorithm to generate the conditional samples that belong to intermediate less rare failure events. Generating samples moving forwards to the target space is the heart for Subset Simulation. This work considers different sampling strategies to generate samples and compares their performance in the context of expensive model calibration. A numerical example is provided to show the potential of HM using different Subset Simulation sampling schemes.

Keywords

    Bayesian emulation, History matching, Non-implausibility, Rare event simulation, Subset simulation

ASJC Scopus subject areas

Cite this

Sampling schemes for history matching using subset simulation. / Gong, Z.; DiazDelaO, F. A.; Beer, M.
UNCECOMP 2017: Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering. ed. / George Stefanou; M. Papadrakakis; Vissarion Papadopoulos. 2017. p. 154-164.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Gong, Z, DiazDelaO, FA & Beer, M 2017, Sampling schemes for history matching using subset simulation. in G Stefanou, M Papadrakakis & V Papadopoulos (eds), UNCECOMP 2017: Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering. pp. 154-164, 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering, UNCECOMP 2017, Rhodes Island, Greece, 15 Jun 2017. https://doi.org/10.7712/120217.5359.16948
Gong, Z., DiazDelaO, F. A., & Beer, M. (2017). Sampling schemes for history matching using subset simulation. In G. Stefanou, M. Papadrakakis, & V. Papadopoulos (Eds.), UNCECOMP 2017: Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (pp. 154-164) https://doi.org/10.7712/120217.5359.16948
Gong Z, DiazDelaO FA, Beer M. Sampling schemes for history matching using subset simulation. In Stefanou G, Papadrakakis M, Papadopoulos V, editors, UNCECOMP 2017: Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering. 2017. p. 154-164 doi: 10.7712/120217.5359.16948
Gong, Z. ; DiazDelaO, F. A. ; Beer, M. / Sampling schemes for history matching using subset simulation. UNCECOMP 2017: Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering. editor / George Stefanou ; M. Papadrakakis ; Vissarion Papadopoulos. 2017. pp. 154-164
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